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Moment of Inertia of a Rod

When the axis...

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When the axis of rotation passes through itscentre of gravity, then the moment of inertia of arigid body is(1) Reduced to its minimum value(2) Zero(3) Increased to its maximum value(4) Infinity

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Q. Statement-1: The moment of inertia of a rigid body reduces to its minimum value as compared to any other parallel axis when the axis of rotation passes through its centre of mass.
Statement-2: The weight of a rigid body always acts through its centre of mass in uniform gravitational field.

Q. Out of the following bodies of same mass, which one will have maximum moment of inertia about an axis passing through its center of gravity and perpendicular to its place?

Q. A rigid body of mass

m

rotates about an axis passing through its centre. If the angular velocity of the body is unity, the moment of inertia of the body will be equal to :

Q. Assertion :Moment of inertia of a rigid body about any axis passing through its centre of mass is minimum Reason: From theorem of parallel axis

I = I_{c m} + M r^{2}

Q. A circular disc of radius

1 m

is rotating about an axis passing through its

C O M

and perpendicular to its plane. The moment of inertia about this axis is given by

I_{c o m} = {2 kg-m}^{2}

. If the disc is rotated about an axis along its diameter, then the moment of inertia along that axis is

I_{d i a}

(I_{c o m} - I_{d i a})

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Moment of Inertia of a Rod

Standard XII Physics

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